scholarly journals Lagrangian formulation for free mixed-symmetry bosonic gauge fields in (A)dSd

2005 ◽  
Vol 2005 (08) ◽  
pp. 069-069 ◽  
Author(s):  
Konstantin B Alkalaev ◽  
Oleg V Shaynkman ◽  
Mikhail A Vasiliev
Keyword(s):  
Lagrangian Formulation ◽  
Gauge Fields ◽  
Mixed Symmetry

scholarly journals Mixed-symmetry massless gauge fields in AdS5

2006 ◽  
Vol 149 (1) ◽  
pp. 1338-1348 ◽  
Author(s):  
K. B. Alkalaev
Keyword(s):  
Gauge Fields ◽  
Mixed Symmetry

scholarly journals Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional p-form gauge fields

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
José J Fernández-Melgarejo ◽  
Yuho Sakatani ◽  
Shozo Uehara
Keyword(s):  
Gauge Fields ◽  
Duality Transformation ◽  
Systematic Method ◽  
Transformation Rules ◽  
Mixed Symmetry ◽  
Generalized Metric ◽  
Duality Groups ◽  
Form Field

Abstract In $U$-duality-manifest formulations, supergravity fields are packaged into covariant objects such as the generalized metric and $p$-form fields $\mathcal A_p^{I_p}$. While a parameterization of the generalized metric in terms of supergravity fields is known for $U$-duality groups $E_n$ with $n\leq 8$, a parameterization of $\mathcal A_p^{I_p}$ has not been fully determined. In this paper, we propose a systematic method to determine the parameterization of $\mathcal A_p^{I_p}$, which necessarily involves mixed-symmetry potentials. We also show how to systematically obtain the $T$- and $S$-duality transformation rules of the mixed-symmetry potentials entering the multiplet. As the simplest non-trivial application, we find the parameterization and the duality rules associated with the dual graviton. Additionally, we show that the 1-form field $\mathcal A_1^{I_1}$ can be regarded as the generalized graviphoton in the exceptional spacetime.

scholarly journals Lagrangian interactions within a special class of covariant mixed-symmetry type tensor gauge fields

2003 ◽  
Vol 27 (3) ◽  
pp. 457-465 ◽  
Author(s):  
C. Bizdadea ◽  
E.M. Cioroianu ◽  
I. Negru ◽  
S.O. Saliu
Keyword(s):  
Special Class ◽  
Symmetry Type ◽  
Gauge Fields ◽  
Mixed Symmetry

scholarly journals Perturbative F-theory 10-brane and M-theory 5-brane

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Machiko Hatsuda ◽  
Warren Siegel
Keyword(s):  
Current Algebra ◽  
Duality Theory ◽  
Virasoro Algebra ◽  
Space Time ◽  
Lagrangian Formulation ◽  
Gauge Fields ◽  
Duality Symmetry ◽  
M Theory ◽  
Current Algebras

Abstract The exceptional symmetry is realized perturbatively in F-theory which is the manifest U-duality theory. The SO(5) U-duality symmetry acts on both the 16 space-time coordinates and the 10 worldvolume coordinates. Closure of the Virasoro algebra requires the Gauss law constraints on the worldvolume. This set of current algebras describes a F-theory 10-brane. The SO(5) duality symmetry is enlarged to the SO(6) symmetry in the Lagrangian formulation. We propose actions of the F-theory 10-brane with SO(5) and SO(6) symmetries. The gauge fields of the latter action are coset elements of SO(6)/SO(6; ℂ) which include both the SO(5)/SO(5; ℂ) spacetime backgrounds and the worldvolume backgrounds. The SO(5) current algebra obtained from the Pasti-Sorokin-Tonin M5-brane Lagrangian leads to the theory behind M-theory, namely F-theory. We also propose an action of the perturbative M-theory 5-brane obtained by sectioning the worldvolume of the F-theory 10-brane.

scholarly journals Revisiting higher-spin gyromagnetic couplings

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Raffaele Marotta ◽  
Massimo Taronna ◽  
Mritunjay Verma
Keyword(s):  
General Formula ◽  
Regge Trajectory ◽  
Young Diagram ◽  
Young Tableau ◽  
Gauge Fields ◽  
Type Ii ◽  
Massive String ◽  
Mixed Symmetry ◽  
Higher Spin ◽  
Kaluza Klein

Abstract We analyze Bosonic, Heterotic, and Type II string theories compactified on a generic torus having constant moduli. By computing the hamiltonian giving the interaction between massive string excitations and U(1) gauge fields arising from the graviton and Kalb-Ramond field upon compactification, we derive a general formula for such couplings that turns out to be universal in all these theories. We also confirm our result by explicitly evaluating the relevant string three-point amplitudes. From this expression, we determine the gyromagnetic ratio g of massive string states coupled to both gauge-fields. For a generic mixed symmetry state, there is one gyromagnetic coupling associated with each row of the corresponding Young Tableau diagram. For all the states having zero Kaluza Klein or Winding charges, the value of g turns out to be 1. We also explicitly consider totally symmetric and mixed symmetry states (having two rows in the Young diagram) associated with the first Regge-trajectory and obtain their corresponding g value.

scholarly journals Rich gauge structures from a unitary approach of some massless gauge fields of spins one and two

2017 ◽  
Vol 32 (10) ◽  
pp. 1750044 ◽  
Author(s):  
Eugen-Mihaita Cioroianu
Keyword(s):  
Minkowski Space ◽  
Gauge Field ◽  
Gauge Theories ◽  
Space Time ◽  
Second Order ◽  
Geometric Object ◽  
Gauge Fields ◽  
First Order ◽  
Mixed Symmetry ◽  
Unitary Approach

The aim of this paper consists in the investigation of both first- and second-order dynamics for a special massless tensor gauge field of degree [Formula: see text]. Geometrically, this can be interpreted as a bosonic (1-)form-valued [Formula: see text]-form that, in specific space–time dimensions, describes either spin-1 or spin 2 gauge fields. The idea of using multi-forms in describing general tensor gauge fields is not new. It was previously investigated at Lagrangian level[Formula: see text] where was displayed interesting exotic gauge theories. In arbitrary Minkowski space–times, the considered geometric object combines two tensor gauge fields with mixed symmetry namely a [Formula: see text]-form and a massless tensor gauge field with the mixed symmetry [Formula: see text]. Concretely, we first approach the bosonic (1-)form-valued [Formula: see text]-form from the Hamiltonian perspective, Dirac analysis revealing new compelling gauge structures. Second, we construct the Lagrangian first-order formulations for the considered geometric ingredient.

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